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We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography.
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S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti–de sitter space/conformal field theory correspondence
2006
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2007
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G. Vidal, A class of quantum many-body states that can be efficiently simulated
2008
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2008
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J. I. Cirac and F. Verstraete, Renormalization and tensor product states in spin chains and lattices
2009
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R.N.C. Pfeifer, G. Evenbly, and G. Vidal, Entanglement renormalization, scale invariance, and quantum criticality
2009
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G. Evenbly and G. Vidal, Algorithms for entanglement renormalization
2009
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G. Evenbly, P. Corboz, and G. Vidal, Non-local scaling operators with entanglement renormalization
2010
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G. Evenbly and G. Vidal, Tensor network states and geometry
2011
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B. Swingle, Entanglement renormalization and holography
2012
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B. Swingle, Constructing holographic spacetimes using entanglement renormalization
2012
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M. Nozaki, S. Ryu, and T. Takayanagi, Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
2012
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G. Evenbly and G. Vidal, Quantum criticality with the multi-scale entanglement renormalization ansatz
B. Czech, L. Lamprou, S. McCandlish, and J. Sully, Tensor Networks from Kinematic Space
2015
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N. Bao, C. Cao, S. M. Carroll, A. Chatwin-Davies, N. Hunter-Jones, J. Pollack, and G. N. Remmen, Consistency conditions for an AdS multiscale entanglement renormalization ansatz correspondence
2015
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F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
2015
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M. Miyaji, T. Takayanagi, and K. Watanabe, From path integrals to tensor networks for AdS/CFT
2016
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B. Czech, G. Evenbly, L. Lamprou, S. McCandlish, X.-L. Qi, J. Sully, and G. Vidal, A tensor network quotient takes the vacuum to the thermal state
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2013
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X.-L. Qi, Exact holographic mapping and emergent space-time geometry
2013
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C. Beny, Causal structure of the entanglement renormalization ansatz
2013
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G. Evenbly and G. Vidal, Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz
2014
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J. C. Bridgeman, A. O’Brien, S. D. Bartlett, and A. C. Doherty, Multiscale entanglement renormalization ansatz for spin chains for spin chains with continuously varying criticality
2015
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G. Evenbly and G. Vidal, Theory of minimal updates in holography
2015
Cited alongside, same era.
In the context of tensor networks, minimal surfaces are defined as the surfaces that transect the minimal number of bulk indices. If there is more than one minimal surface for a region ℛ {\mathcal{R}} , then γ ℛ \gamma_{{\mathcal{R}}} is chosen to make the entanglement wedge as large as possible
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2016
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2016
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2016
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2016
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A. Bhattacharyya, Z.-S. Gao, L.-Y. Hung, S.-N. Liu, Exploring the Tensor Networks/AdS Correspondence
2016
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S. Singh, A holographic correspondence from tensor network states
2017
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